Ahead of the movie's release, the 43-year-old singer shared the tracks on Twitter with fans.
"Surrender" is featured by Lalah Hathaway, where the two sing about perseverance and overcoming struggle and hardship with the support of the helping hand of faith.
Williams has co-produced the film and also wrote original music for the soundtrack.
Also starring Jim Parsons, Kirsten Dunst and Glen Powell, "Hidden Figures" is based on Margot Lee Shetterly's book by the same name, which centers on three African-American mathematicians.
The biographical drama is set to hit the US theatres on December 25.
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